A local extrapolation method for hyperbolic conservation laws. I. The ENO underlying schemes

Journal of Scientific Computing

Volumn 15, Issue 2, 2000, Pages 231-264

  Yang, H ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Conservation law; Extrapolation method; Shock capturing schemes

Indexed keywords

OSCILLATIONS;

HYPERBOLIC CONSERVATION LAWS;

EXTRAPOLATION;

EID: 0034197006     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007685827323     Document Type: Article

References (46)

1. Flux-corrected transport I: SHAS TA, a fluid transport algorithm that works
2. Front tracking for gas dynamics
3. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III. One-dimensional systems
4. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
5. The bifurcation of tracked scalar wave
6. A geometric approach to high resolution TVD schemes
7. Recent developments in shock-capturing schemes
8. High resolution schemes for hyperbolic conservation laws
9. The artificial compression method for computation of shocks and contact discontinuities: III. Self-adjusting hybrid schemes
10. ENO schemes with subcell resolution
11. Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
12. Uniformly high order accurate non-oscillatory schemes, I
13. Some results on uniformly high order accurate essentially non-oscillatory schemes
14. Uniformly high order accurate essentially non-oscillatory schemes, III
15. A comparison of ENO and TVD schemes for the computation of shock-turbulence interaction
16. Accurate upwind methods for the Euler equations
17. The optimal accuracy of difference schemes
18. An adaptive TVD limiter
19. Efficient implementation of weighted ENO schemes
20. An artificial compression method for the computation of contact discontinuity
21. An adaptive Lagrangian method for computing 1D reacting and non-reacting flows
22. Capturing contact discontinuities in steady-state conservation laws
23. The splitting extrapolation method. A new technique in numerical solution of multidimensional problems
24. Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes. I
25. Weighted essentially non-oscillatory schemes
26. A new Lagrangian method for steady supersonic flow computation
27. A treatment of discontinuities for finite difference methods in the two-dimensional case
28. Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions
29. Numerical algorithms for the linear wave equations
30. Discontinuous solutions to hyperbolic systems under operator splitting
31. TVB uniformly high-order schemes for conservation laws
32. Efficient implementation of essentially non-oscillatory shock capturing schemes
33. High resolution schemes using flux limiters for hyperbolic conservation laws
34. Towards the ultimate conservative differrence schemes II. Monotonicity and conservation combined in a second order scheme
35. Towards the ultimate conservative differrence schemes V. A second order sequel to Godunov's method
36. The piecewise-parabolic method (P PM) for gasdynamical simulations
37. An artificial compression method for ENO schemes: The slope modification method
38. A preliminary comparison of modern shock-capturing schemes: Linear advections